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Search: id:A161408
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| A161408 |
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Number of partitions of n^2 into parts greater than n. |
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+0
4
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| 0, 0, 1, 2, 6, 17, 56, 179, 607, 2076, 7269, 25736, 92360, 334506, 1222463, 4499892, 16673446, 62130710, 232700539, 875483029, 3307244256, 12539455600, 47702381244, 182021195608, 696487788847, 2671877845634, 10274126646175
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OFFSET
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0,4
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EXAMPLE
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a(4) = #{16, 11+5, 10+6, 9+7, 8+8, 6+5+5} = 6.
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MAPLE
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a := proc (n) local G, Gser: G := 1/(product(1-x^j, j = n+1 .. n^2)): Gser := series(G, x = 0, n^2+5): coeff(Gser, x, n^2) end proc: 0, seq(a(n), n = 1 .. 27); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 22 2009]
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CROSSREFS
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A072213, A093116, A161407.
Sequence in context: A148453 A097514 A108630 this_sequence A150033 A150034 A032132
Adjacent sequences: A161405 A161406 A161407 this_sequence A161409 A161410 A161411
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2009
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EXTENSIONS
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Extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 22 2009
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